The diameter of one circle is represented by 12x. The diameter of another circle is represented by 6x^2y. What is the ratio of t
2 answers:
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Answer:
= - 7n - 1
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 15 - (- 8) = - 22 - (- 15) = - 29 - (- 22) = - 36 - (- 29) = - 7
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 8 and d = - 7 , then
= - 8 - 7(n - 1) = - 8 - 7n + 7 = - 7n - 1
Zeroes:
We must solve
To do so, we define the auxiliary variable . The equation becomes
The quadratic formula yields the solutions
Substituting back gives
So, the zeroes are -6, -3, 3, 6.
Turning points:
Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.
We have
If we set the derivative to be zero, we have
So, the derivative is zero if x=0 or
Answer:
30%
Step-by-step explanation:
Percentage loss is calculated as
× 100%
loss = 50000 - 35000 = 15000, thus
percent loss = × 100% = 30%